I was trying to understand the Einstein's explanation for gravity (gravitational force), and while I am able to understand why two moving masses will be attracted, due to the curving of the space, I am not quite able to understand what would make an apple fall, i.e., how will Einstein model explain the gravitational force between two stationary objects?

(Please correct me if I am wrong anywhere. I am a computer scientist; hence physics is not my forte! :D)

Einstein's model says that all particles will naturally travel along geodesics. These are effectively the straightest path possible in curved space-time. It turns out that it is a straighter path to move closer to another object with mass as time increases, than to be stationary.
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MewSep 21 '12 at 12:30